You must solve for p, in order to solve for p you must move all the terms to equal p, so the equation is [tex]2m + 2p = 16[/tex] first move the 2m, subtract the 2m from both sides [tex]2m + 2p = 16 \\ - 2m \: \: \: \: \: \: \: \: - 2m[/tex] the 2m and -2m cancel out and now your equation looks like [tex]2p = 16 - 2m[/tex] now to leave p by itself you must divide by 2 on both sides as the 2 is being multiplies on the p (opposite) [tex] \frac{2p}{2} = \frac{16 - 2m}{2} [/tex] now to put the answer is simplest form your answer is [tex]p = 8 - m[/tex] which is the first answer choice
